A Circular Inclusion and Two Radial Coaxial Cracks with Contacting Faces in a Piecewise Homogeneous Isotropic Plate Under Bending

1. Bäcker D., Kuna M., Häusler C. (2015), Eigenfunctions of crack problems in the Mindlin plate theory, ZAMM – Journal of Applied Mathematics and Mechanics, 95(8), 763–777.10.1002/zamm.201300256Search in Google Scholar

2. Dempsey J. P., Shekhtman I. I., Slepyan L. I. (1998), Closure of a through crack in a plate under bending, International Journal of Solids and Structures, Vol. 35, No. 31-32, 4077–4089.Search in Google Scholar

3. Hsieh M. C., Hwu C. (2002), Anisotropic elastic plates with holes/cracks/inclusions subjected to out-of-plane bending moments, International Journal of Solids and Structures, 39 (19), 4905–492510.1016/S0020-7683(02)00335-9Search in Google Scholar

4. Kuz’ I. S., Моrоz O. I., Kuz’ O. N. (2019), Strength of elastoplastic plates containing square holes (inclusions) and cuts (thin inclusions) under uniaxial tension, Materials Science, Vol. 54, No. 4, 603–609.Search in Google Scholar

5. Kwon Y. W.(1989),Finite analysis of crack closure in plate bending. Computers and Structures, Vol. 32, No. 4, 1439–1445.Search in Google Scholar

6. Liu Z., Chen X., Yu D., Wang X. (2018), Analysis of semi-elliptical surface cracks in the interface of bimaterial plates under tension and bending, Theoretical and Applied Fracture Mechanics, 93, 155–169.10.1016/j.tafmec.2017.07.019Search in Google Scholar

7. Maksymovych O., Illiushyn O. (2017), Stress calculation and optimization in composite plates with holes based on the modifiedintegral equation method, Engineering Analysis with BoundaryElements, 83, 180–187.10.1016/j.enganabound.2017.06.009Search in Google Scholar

8. Muskhelishvili N. I. (1966), Some basic problems of the mathematical theory of elasticity (in Russian), Nauka, Moscow.Search in Google Scholar

9. Nguyen, V. T., Hwu, C. (2018), Multiple holes, cracks, and inclusions in anisotropic viscoelastic solids, Mechanics of Time-Dependent Materials, 22(2), 187–205.10.1007/s11043-017-9349-9Search in Google Scholar

10. Nielsen C. V., Legarth B. N., Niordson C. F. (2012), Extended FEM modeling of crack paths near inclusions, International Journal for Numerical Methods in Engineering, 89(6), 762–785.10.1002/nme.3268Search in Google Scholar

11. Opanasovych V. K., Slobodyan M. S. (2007), Bending of a piecewise homogeneous plate with straightinterfacial crack with contactingfaces (in Ukrainian), Mathematical Methods and Physicomechanical Fields, 50(1), 168–177.Search in Google Scholar

12. Opanasovych V. K., Yatsyk I. M., Sulym H. T. (2012), Bending of Reissner’s plate containing a through-the-thickness crack by concentrat ed moments taking into account the width of a contact zone of its faces, Journal of Mathematical Science, 187(5), 620–634.10.1007/s10958-012-1088-5Search in Google Scholar

13. Osadchuk V. A. (1985), Stress-strain state and limit equilibrium of cracked shells (in Russian), Naukova dumka, Kyiv.Search in Google Scholar

14. Panasyuk V. V., Savruk M. P., Datsyshyn A. P. (1976), Stress propagation near the cracks in plates and shells (in Russian), Naukova dumka, Kyiv.Search in Google Scholar

15. Prusov I. A. (1962), Some problems of the thermoelasticity (in Russian), Belarus. Univ., Minsk.Search in Google Scholar

16. Prusov I. A. (1975), The method of conjugation in the theory of plates (in Russian), Belarus. Univ., Minsk.Search in Google Scholar

17. Shao-Tzu C., Li H. (2017), Boundary-based finite element method for two-dimensional anisotropic elastic solids with multiple holes and cracks, Engineering Analysis with Boundary Elements, 79, 13–22.10.1016/j.enganabound.2017.03.003Search in Google Scholar

18. Shatsky I. P. (1988), Bending of a plate weakened by a crack with contacting faces (in Ukrainian), Rep. of AS of USSR, Series Phys. Math. and Tech. Sci., 7, 49–51.Search in Google Scholar

19. Shiah, Y-C., Hwu, C., Yao, J. J. (2019), Boundary element analysis of the stress intensity factors of plane interface cracks between dissimilarly adjoined anisotropic materials,Engineering Analysis with Boundary Elements, 106, 68–74.10.1016/j.enganabound.2019.04.029Search in Google Scholar

20. Sulym H., Opanasovych V., Slobodian M., Bilash O. (2018), Combined Bending with Tension of Isotropic Plate with Crack Considering Crack Banks Contact and Plastic Zones at its Tops, Acta Mechanica et Automatica, Vol. 12, No. 2(44), 91–95.Search in Google Scholar

21. Sulym H., Opanasovych V., Slobodian M., Yarema Y. (2018), Biaxial Loading of a Plate Containing a Hole and Two Co-Axial Through Cracks, Acta Mechanica et Automatica, Vol. 12, No. 3(45), 237–242.Search in Google Scholar

22. Wang X., Nasebe N. (2000), Bending of a thin plate containing a rigid inclusion and a crack, Engineering Analysis with Boundary Elements, 24(2), 145–153.10.1016/S0955-7997(99)00062-4Search in Google Scholar

23. Young M. J., Sun C. T.(1992),Influence of crack closure on the stress intensity factor in bending plates – A classical plate solution, International Journal of Fracture, 55, 81–93.10.1007/BF00018034Search in Google Scholar